# RS Aggarwal Solutions Class 9 Mathematics Solutions for Volume And Surface Area Of Solids Exercise 15A in Chapter 15 - Volume And Surface Area Of Solids

Question 9 Volume And Surface Area Of Solids Exercise 15A

How many planks of dimensions (5m × 25cm × 10cm) can be stored in a pit which is 20m long, 6m wide and 80cm deep?

The dimensions of the plank are

Length = 5m = 500cm

Height = 10cm

We know that

Volume of the plank = l × b × h

By substituting the values

Volume of the plank = 500 × 25 × 10

So we get

Volume of the plank = 125000 cm3

The dimensions of the pit are

Length = 20m = 2000 cm

Breadth = 6m = 600 cm

Height = 80cm

We know that

Volume of one pit = l × b × h

By substituting the values

Volume of one pit = 2000 × 600 × 80

So we get

Volume of one pit = 96000000cm3

So the number of planks that can be stored = Volume of one pit/ Volume of plank

By substituting the values

Number of planks that can be stored = 96000000/125000

So we get

Number of planks that can be stored = 768

Therefore, the number of planks that can be stored is 768.

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